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Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, Function, k, t, v, vk
from proveit.linear_algebra import VecSum
from proveit.numbers import Exp, Interval, one, subtract, two, zero
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(two, t)
expr = ExprTuple(VecSum(index_or_indices = [k], summand = vk, domain = Interval(zero, subtract(sub_expr1, one))), Function(v, [sub_expr1]))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\sum_{k=0}^{2^{t} - 1} v\left(k\right), v\left(2^{t}\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 3
operand: 6
2Operationoperator: 10
operand: 22
3Literal
4ExprTuple6
5ExprTuple22
6Lambdaparameter: 14
body: 7
7Conditionalvalue: 8
condition: 9
8Operationoperator: 10
operand: 14
9Operationoperator: 12
operands: 13
10Variable
11ExprTuple14
12Literal
13ExprTuple14, 15
14Variable
15Operationoperator: 16
operands: 17
16Literal
17ExprTuple18, 19
18Literal
19Operationoperator: 20
operands: 21
20Literal
21ExprTuple22, 23
22Operationoperator: 24
operands: 25
23Operationoperator: 26
operand: 30
24Literal
25ExprTuple28, 29
26Literal
27ExprTuple30
28Literal
29Variable
30Literal